What is the Least Common Multiple of 20128 and 20145?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 20128 and 20145 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20128 and 20145, than apply into the LCM equation.

GCF(20128,20145) = 17
LCM(20128,20145) = ( 20128 × 20145) / 17
LCM(20128,20145) = 405478560 / 17
LCM(20128,20145) = 23851680

Least Common Multiple (LCM) of 20128 and 20145 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20128 and 20145. First we will calculate the prime factors of 20128 and 20145.

Prime Factorization of 20128

Prime Factorization of 20145

Now multiplying the highest exponent prime factors to calculate the LCM of 20128 and 20145.

LCM(20128,20145) = 2⁵ × 17¹ × 37¹ × 3¹ × 5¹ × 79¹
LCM(20128,20145) = 23851680